Electronic Band Structure of Superlattices in Magnetic Fields

Abstract

Magnetic energy level structures of superlattices are investigated. Due to the small band width in the direction of the superlattice axis, the dispersion of the band structure in this direction is essential for the determination of magnetic energy levels in the magnetic field perpendicular to the axis, and it is shown that the line spectrum of usual Landau levels for the parabollic band broadens into the band spectrum in this case. The density of states of magnetic energy bands is shown to have the divergence due to the two-dimensional van Hove singularities.